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36852330816 = 2632721305709
BaseRepresentation
bin100010010100100100…
…011111000101000000
310112010022011101010100
4202110210133011000
51100433144041231
624532453202400
72443143433500
oct422444370500
9115108141110
1036852330816
11146a11a8654
127185930400
133623c07012
141ad8525a00
15e5a4c41e6
hex89491f140

36852330816 has 126 divisors (see below), whose sum is σ = 122876450970. Its totient is φ = 10529229312.

The previous prime is 36852330803. The next prime is 36852330833. The reversal of 36852330816 is 61803325863.

It can be written as a sum of positive squares in only one way, i.e., 23992770816 + 12859560000 = 154896^2 + 113400^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 624631 + ... + 681078.

Almost surely, 236852330816 is an apocalyptic number.

36852330816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36852330816 is an abundant number, since it is smaller than the sum of its proper divisors (86024120154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36852330816 is a wasteful number, since it uses less digits than its factorization.

36852330816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305741 (or 1305721 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 36852330816 in words is "thirty-six billion, eight hundred fifty-two million, three hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 1305709 2611418 3917127 5222836 7834254 9139963 10445672 11751381 15668508 18279926 20891344 23502762 27419889 31337016 36559852 41782688 47005524 54839778 62674032 63979741 73119704 82259667 83565376 94011048 109679556 125348064 127959482 146239408 164519334 188022096 191939223 219359112 250696128 255918964 292478816 329038668 376044192 383878446 438718224 511837928 575817669 584957632 658077336 752088384 767756892 877436448 1023675856 1151635338 1316154672 1535513784 1754872896 2047351712 2303270676 2632309344 3071027568 4094703424 4606541352 5264618688 6142055136 9213082704 12284110272 18426165408 36852330816